Particle Deposition Mechanisms: Diffusion to a Cylinder

Equation (8) may be restated as

(12)

where

(13)

The boundary conditions are now given by

(14)

Introducing the similarity variable

(15)

Equation (12) may be restated as

(16)

The solution to Equation (16) is given by

(17)

where

(18)

is the Peclet number.